What is the answer to x/4 =4-(x+2)/3 ?

The answer to x/4 =4-(x+2)/3 is x= 40/7

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x/4 =4-(x+2)/3

\frac{x}{4} = 4 - \frac{x + 2}{3}

x = \frac{40}{7}

Decimal Notation

x = 5.71428 \dots

Solution steps

\frac{x}{4} = 4 - \frac{x + 2}{3}

Multiply by LCM

3 x = 48 - 4 (x + 2)

Expand

48 - 4 (x + 2) : - 4 x + 40

3 x = - 4 x + 40

Move

4 x

to the left side

7 x = 40

Divide both sides by

7

x = \frac{40}{7}

\frac{1}{2} \cdot 6 \cdot 7

(2 x + 3) + (x - 1) = 17

(4 b + 10 c) (10 c - 4 b) + (- 5 c + 2 b) (5 c + 2 b)

227

4 (\frac{3}{2})^{- 1}